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math.DG2001★ 3 cited
Holonomy and monodromy groupoids
Ronald Brown, Ilhan Icen, Osman Mucuk
We outline the construction of the holonomy groupoid of a locally Lie groupoid and the monodromy groupoid of a Lie groupoid. These specialise to the well known holonomy and monodro…
math.DG2000
Towards a 2-dimensional notion of holonomy
Ronald Brown, Ilhan Icen
Previous work (Pradines, 1966, Aof and Brown, 1992) has given a setting for a holonomy Lie groupoid of a locally Lie groupoid. Here we develop analogous 2-dimensional notions start…
math.DG1998
Lie local subgroupoids and their holonomy and monodromy Lie groupoids
Ronald Brown, Ilhan Içen
The notion of local equivalence relation on a topological space is generalised to that of local subgroupoid. The main result is the construction of the holonomy and monodromy group…